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Finding the Fourth Proportional to 220.68, 329.18 and 205.97

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Solution

The fourth proportional to 220.68, 329.18 and 205.97 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.68 : 329.18 = 205.97 : x
  2. Step 2: Convert to fraction form
    220.68/329.18 = 205.97/x
  3. Step 3: Cross multiply
    220.68x = 329.18 × 205.97
  4. Step 4: Simplify right side
    220.68x = 67,798.53
  5. Step 5: Solve for x
    x = 67,798.53/220.68
  6. Step 6: Final answer
    x = 307.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.